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Simplifying 0.5(7x + 15) + -2 = 8 + x + 6 Reorder the terms: 0.5(15 + 7x) + -2 = 8 + x + 6 (15 * 0.5 + 7x * 0.5) + -2 = 8 + x + 6 (7.5 + 3.5x) + -2 = 8 + x + 6 Reorder the terms: 7.5 + -2 + 3.5x = 8 + x + 6 Combine like terms: 7.5 + -2 = 5.5 5.5 + 3.5x = 8 + x + 6 Reorder the terms: 5.5 + 3.5x = 8 + 6 + x Combine like terms: 8 + 6 = 14 5.5 + 3.5x = 14 + x Solving 5.5 + 3.5x = 14 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 5.5 + 3.5x + -1x = 14 + x + -1x Combine like terms: 3.5x + -1x = 2.5x 5.5 + 2.5x = 14 + x + -1x Combine like terms: x + -1x = 0 5.5 + 2.5x = 14 + 0 5.5 + 2.5x = 14 Add '-5.5' to each side of the equation. 5.5 + -5.5 + 2.5x = 14 + -5.5 Combine like terms: 5.5 + -5.5 = 0.0 0.0 + 2.5x = 14 + -5.5 2.5x = 14 + -5.5 Combine like terms: 14 + -5.5 = 8.5 2.5x = 8.5 Divide each side by '2.5'. x = 3.4 Simplifying x = 3.4
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